Abstract algebra

Description based on print version record. This book Abstract Algebra has been written primarily from student's point of view. So that they can easily understand various mathematical concepts, techniques and tools needed for their course. Efforts have been made to explain such points in depth, so that students can follow the subject easily. A large number of solved and unsolved problems have been included in each chapter to make students familiar with the types of questions set in various examinations. This book is intended to supply the typical freshman and related disciplines with a first exposure to the mathematical topics. The auth Preface......Page 6 List of symbols......Page 8 Contents......Page 12 Ring......Page 14 Field......Page 51 Module......Page 73 Group......Page 100 Group Theory......Page 123 Number Theory......Page 152 Galois Theory......Page 186 Homological Algebra......Page 226 Noncommutative Algebra......Page 261 Geometry of Algebra......Page 287